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Finding the Fourth Proportional to 22,380.81, 30,884.87 and 12,309.24

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Solution

The fourth proportional to 22,380.81, 30,884.87 and 12,309.24 is: 16,986.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,380.81 : 30,884.87 = 12,309.24 : x
  2. Step 2: Convert to fraction form
    22,380.81/30,884.87 = 12,309.24/x
  3. Step 3: Cross multiply
    22,380.81x = 30,884.87 × 12,309.24
  4. Step 4: Simplify right side
    22,380.81x = 380,169,215.65
  5. Step 5: Solve for x
    x = 380,169,215.65/22,380.81
  6. Step 6: Final answer
    x = 16,986.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.